Dear Researchers, having received some comments on the fact of using only two values to determine the rational parameter that allows my proof of Fermat's Last Theorem in the article "On the Nature of Some Euler's Double Equations Equivalent to Fermat's Last Theorem, in Mathematics, 10-23, (2022), pp. 1-12.

Free access https//www.mdpi.com/2227-7390/10/23/4471. "

I have prepared this document which definitively closes the discussion on the validity of my elementary proof.

Best Regards

Andrea Ossicini

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